a, b, c, d, and e satisfy a – 1 = b + 2 = c – 2 = d + 4 = e + 3. Which of a, b, c, d, or e is the greatest?

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Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

by Max@Math Revolution » Fri Jun 26, 2020 2:06 am

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[GMAT math practice question]

a, b, c, d, and e satisfy a – 1 = b + 2 = c – 2 = d + 4 = e + 3. Which of a, b, c, d, or e is the greatest?

A. a
B. b
C. c
D. d
E. e

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Source: Beat The GMAT — Problem Solving | Fri Jun 26, 2020 2:06 am

Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

Re: a, b, c, d, and e satisfy a – 1 = b + 2 = c – 2 = d + 4 = e + 3. Which of a, b, c, d, or e is the greatest?

by Max@Math Revolution » Sun Jun 28, 2020 7:12 am

=>

We have b = a – 3, c = a + 1, d = a – 5 and e = a – 4 in terms of a.
Then the greatest one of a, b, c, d,
+ and e is c = a + 1.

Therefore, C is the correct answer.
Answer: C

k_rohit: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Sun Jun 28, 2020 5:33 am

Re: a, b, c, d, and e satisfy a – 1 = b + 2 = c – 2 = d + 4 = e + 3. Which of a, b, c, d, or e is the greatest?

by k_rohit » Sun Jun 28, 2020 11:44 am

Answer should be C

We can simply equate all

a – 1 = b + 2 = c – 2 = d + 4 = e + 3 = x
so a,b,c,d, & e are respective x+1, x-2, x+2, x-4 & x-3
Therefore c is the largest of al.

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